{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-06-19T12:31:56.068237",
     "start_time": "2017-06-19T12:31:41.794638"
    },
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "import os\n",
    "os.chdir('..')\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import trading.start\n",
    "import trading.portfolio as portfolio\n",
    "import config.settings\n",
    "from time import sleep\n",
    "from core.utility import *\n",
    "from trading.accountcurve import *\n",
    "import data.db_mongo as db\n",
    "import config.portfolios\n",
    "from pylab import rcParams\n",
    "rcParams['figure.figsize'] = 15, 10\n",
    "p = portfolio.Portfolio(instruments=config.portfolios.p_trade)\n",
    "i = p.instruments\n",
    "from trading.bootstrap import bootstrap"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Stock and shares are a type of financial instrument. The place they are traded is the stock market. People trade with the goal of maximising profits.\n",
    " \n",
    "We trade financial instruments using simple computer models, that, based on past data, give us a reasonable chance of future success.\n",
    " \n",
    "## Investing or Trading\n",
    "Investing implies a buy-and-hold strategy. Under the ‘Fundamental Law of Active Management’, in order to gain market-beating returns (that is, to do consistently better than the market), we need to change our portfolio from time to time, to pick winners, and remove losers. We call this activity trading.\n",
    " \n",
    "## Concept: Long & Short\n",
    "On the stock market, when you buy a share, you are hoping the value will rise, and you can sell it for a profit. This is known as going long. In some markets, you can also do the reverse- that is, you can sell a share before you buy it. In this case, you are hoping the market will go down. This is known as going short.\n",
    " \n",
    "## Concept: Commodities\n",
    "Items which are generic are called commodities. Examples include oil, gas, gold, corn and foreign currencies. The price of the commodity is called the ‘spot rate’.\n",
    "Concept: Futures Contracts\n",
    "We don’t trade stocks and shares. We trade futures contracts (often just called ‘futures’), which are traded in a similar way, but offer some advantages for computer based traders.\n",
    " \n",
    "A futures contract is an agreement to purchase a specific commodity at a specific time in the future, at a price known today.\n",
    " \n",
    "### Example:\n",
    "I am an airline and I have sold out tickets to a flight in 6 months time. The cost of fuel represents a large portion of my costs of operating the flight. The cost of fuel changes on a daily basis. A large rise in the price over the next six months might make the flight unprofitable.\n",
    " \n",
    "In order to offset (‘hedge’) this risk, I will purchase a futures contract for the fuel, to be delivered in six months. I will pay the price of the futures contract today. The price of the futures contract today will be different from the spot rate of fuel (as it represents the expected price in six months time). If, on delivery, the spot price is lower, then I have lost out - I could have just purchased the fuel on the day I needed it. If, on the other hand, the spot price is higher than what I paid, I will be glad I bought that future six months ago.\n",
    "Definition: Derivative\n",
    "Any financial instrument whose price is derived from that of another instrument is called a ‘derivative’. The prices of gold futures, for example, would have prices derived from the (spot rate) price of gold. Futures are a type of derivative, although there are many others.\n",
    " \n",
    "## Concept: Leverage\n",
    " \n",
    "When purchasing stocks or shares, you typically pay with cash. Futures are different. With futures, you pay almost nothing for the future (for the purposes of this discussion, we will assume this amount is zero). This means you can purchase an almost limitless amount of futures contracts. This is called ‘trading on margin’.\n",
    " \n",
    "One other key difference from stocks is that they are settled daily. This means that any profit or loss on the future is deposited daily in our account, in cash.\n",
    " \n",
    "### Example: \n",
    "My trading account starts with \\$10,000 in it. I purchase futures worth \\$100,000. If those futures rise in price by 10%, I now have \\$20,000. If they fall in value of by 10%, I have \\$0- I am bust.\n",
    " \n",
    "When we consider what futures to buy, we look not at the face value of the futures, but at volatility of returns.\n",
    " \n",
    "In Python speak:\n",
    "\n",
    "    returns = prices.diff()\n",
    "    volatility_of_returns = prices.diff().std()\n",
    " \n",
    "This gives us as an idea of how much we expect our account balance to fluctuate by per day.\n",
    " \n",
    "Futures have a ‘multiplier’ or ‘point value’ that indicates how big a change in price will affect our bank balance. For gold, the point value is \\$100. This means that every time the quoted price of gold futures moves by $1, we take a profit or loss of 100x this.\n",
    "\n",
    "### Position Sizing\n",
    " \n",
    "Let us say that we have want our portfolio to fluctuate with an annual volatility of 25%.\n",
    " \n",
    "First, we divide 25% by the square root of the number of business days in the year to get a daily volatility:\n",
    " \n",
    "    Daily volatility = 25% / sqrt(252) \n",
    "                     = 1.57%\n",
    "\n",
    "This means, on a daily basis, we expect a fluctuation of 1.57% in our portfolio value.\n",
    " \n",
    "Let’s take the following scenario:\n",
    "* Our account balance is \\$500,000\n",
    "* We’d like to buy (or sell) gold futures\n",
    " \n",
    "This means our daily volatility target will be `$500,000 * 1.57% = \\$7870`.\n",
    " \n",
    "To hit the volatility target, we’d do:\n",
    " \n",
    "$$\\begin{eqnarray}\n",
    "\\text{Number of gold contracts to own} &=& \\frac{\\text{Daily volatility target}}{\\text{Volatility of a single gold contract}}\\\\\n",
    "&=& \\frac{$7870}{\\text{prices.diff().std()} \\times \\text{pointvalue}}\n",
    "\\end{eqnarray}\n",
    "$$\n",
    " \n",
    "Say today, `prices.diff().std()` for gold is \\$8.29. The point value is \\$100/point- so the daily effect on our portfolio would be \\$829 per contract.\n",
    " \n",
    "Our position would then be 9.49 contracts. We can’t have half contracts, so in reality, we would round this.\n",
    " \n",
    "## Forecasting\n",
    " \n",
    "Here we introduce the moving average crossover, a mechanism which captures trends. (Further explanation can be found by understanding ARIMA time series models).\n",
    " \n",
    "A moving average crossover consists of two moving averages with varying lookbacks.\n",
    " \n",
    "For example, consider the following, where `EWMA(x)` is an exponentially weighted moving average with a lookback of `x` days:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-06-19T12:46:24.650179",
     "start_time": "2017-06-19T12:46:24.067978"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f6d73b3b1d0>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
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iIiIiIqIeiGGNiIiIiIioB2JYIyIiIiIi6oEY1oiIiIiIiHoghjUiIiIiIqIeiGGNiIiI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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6d6b868278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "prices = i['corn'].panama_prices()['1996']\n",
    "prices.plot(title=\"Corn Futures (Panama prices), 1996\")\n",
    "prices.ewm(span=30).mean().plot()\n",
    "prices.ewm(span=120).mean().plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-06-19T12:41:19.722890",
     "start_time": "2017-06-19T12:41:19.641554"
    }
   },
   "source": [
    "Here, we can see that when `EWMA(30) > EWMA(120)`, we are in an uptrend.\n",
    " \n",
    "We prefer our forecasts to not be binary (all in or all out), but continuous. This means we can have small positions for weak trends, and larger positions for strong trends.\n",
    " \n",
    "A better way to write this then would be:\n",
    "\n",
    "    Forecast = EWMA(fast) - EWMA(slow)\n",
    "\n",
    "This is good, but the result is in \\$, which isn’t very useful. We can fix this by normalizing, as follows:\n",
    " \n",
    " $$\\text{Forecast normalized} = \n",
    "     \\frac{\\text{Forecast} \\times 10}\n",
    "         {\\text{Forecast.abs().mean()}}$$\n",
    "\n",
    "This means that we get a forecast that has a `mean()` of 0, and an absolute mean (`.abs().mean()`) of 10 (i.e. the forecast usually hovers around -10 or 10). In our software, we would always clip something like this, so that extreme forecasts are not possible. The likelihood of forecasts would look like two Gaussians, centred on -10 and +10.\n",
    "\n",
    "This forecast is called the **exponentially weighted moving average crossover** - or **EWMAC** for short."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-06-19T13:00:00.277804",
     "start_time": "2017-06-19T12:59:59.767961"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f6d6bfb1ac8>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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4rIoly/dwJKOQuCh/fnFjX3w869ZQI9jfg3tu6EPC0Vze+uoQq7aksvlAFhOH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\ntIALrUWbAAAAQABNyE/SXdeOVkdXn37x8lY1tXWbHQmn4Pf7ta64Rg/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6d6be3d9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ewma_fast = prices.ewm(span=30).mean()\n",
    "ewma_slow = prices.ewm(span=120).mean()\n",
    "forecast = ewma_fast- ewma_slow\n",
    "forecast_normalized = forecast * 10 / forecast.abs().mean()\n",
    "forecast_normalized.plot(title = 'Normalized moving average crossover forecast for Corn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Putting it all together- getting the final position\n",
    "\n",
    "So, to get our final position, we multiply our forecast/10 by our calculation earlier.            \n",
    "               \n",
    "$$\\text{Position}=\n",
    "    \\frac{\\text{Normalized forecast} \\times \\text{Daily volatility target} \\times \\text{Capital}}\n",
    "        { 10 \\times \\text{Return Volatility of a single corn contract}}$$\n",
    "\n",
    "Remember, when we think about setting up a position, we don't think about how much it will 'cost' (like we were buying stocks and shares). Because we're trading on margin, it costs nothing to buy, but we have to fit it into our volatility target. In this way, 'volatility' is the main thing we invest.\n",
    "\n",
    "Below we calculate this for real.\n",
    "\n",
    "Notes:\n",
    "* The annual volatility target is 25% of 100000. We divide this by `sqrt(252)`, the number of trading days in a year, to get the **daily** volatility target.\n",
    "* We divide by 10 because of the arbitrary centering on +10/-10 in our forecast above. **This is legacy code and we should probably take it out.**\n",
    "* We divide by the recent volatility of a single contract. Doing this tells us how many contracts we need to own to make up our target volatility."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-06-19T14:48:12.183580",
     "start_time": "2017-06-19T14:48:11.653608"
    },
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f6d6c10e8d0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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GGzZsiOfwAAAAAJA14noo9vbt27Vx40YtWbJEH330kb70pS/ppZdeks3W/QKe3x9Im1QL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\noqwBAAAAQAD6/zlUcOcrBuAeAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f6d6c5b43c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "position = forecast_normalized * 0.25 * 1000/np.sqrt(252)\\\n",
    "            / (10* prices.diff().ewm(span=36, min_periods=36).std())\n",
    "position.round().plot(title='Number of corn contracts we\\'d like to own')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
